Kevin T. Chu

Plots of Quantum Mechanical Wavefunctions and Probability Densities

Most of these plots look better in the original MATLAB plots which were in
color.

Scattering of a Particle off of a Potential Barrier

MATLAB code.
It takes about 5-10 minutes for the movies to be generated.

Movie. Note that
this is a gzipped MATLAB MAT file. The expanded file is roughly 300MB
in size. There are three movies saved in the file:

Incident wavefunction only (M1)

Reflected and transmitted wavefunction only (M2)

Total wavefunction (M3)

To play the movies, use the MATLAB command movie(M), where M is the
movie that you wish to play.

Quantum Harmonic Oscillator

Plots of the probability densities for the first
few energy eigenfunctions.
MATLAB code.

Plots of the first few energy
eigenfunctions. In the left graph, the wavefunctions are superimposed
on the potential well. In the right graph, the probability density
functions are plotted. MATLAB code.

Hydrogen Atom

1s Orbital

Plot of the radial probability function for
the 1s orbital in a hydrogen-like atom.